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Finding the Fourth Proportional to 12,309.33, 16,984.12 and 7,270.11

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Solution

The fourth proportional to 12,309.33, 16,984.12 and 7,270.11 is: 10,031.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.33 : 16,984.12 = 7,270.11 : x
  2. Step 2: Convert to fraction form
    12,309.33/16,984.12 = 7,270.11/x
  3. Step 3: Cross multiply
    12,309.33x = 16,984.12 × 7,270.11
  4. Step 4: Simplify right side
    12,309.33x = 123,476,420.65
  5. Step 5: Solve for x
    x = 123,476,420.65/12,309.33
  6. Step 6: Final answer
    x = 10,031.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.